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Combination Calculator

Calculate C(n,r): selections where order doesn't matter.

Combinations

Enter values to calculate

About the combination calculator

The combination calculator finds C(n,r): the number of ways to choose r items from n where order doesn't matter.

How to use this calculator

  1. 1

    Enter n and r

    Enter the total items (n) and items chosen (r).

  2. 2

    View results

    See the number of combinations.

How the calculation works

C(n,r) = n! ÷ (r! × (n−r)!). Order doesn't matter.

Example: C(5,3) = 10.

When to use a calculator vs. mental math

Simple operations like percentages and proportions are great for mental math. Complex problems — quadratic equations, standard deviation, and base conversions — benefit from calculator precision. Always estimate the answer first to catch input errors, and verify results with a second method when possible.

Important limitations

This tool provides a mathematical estimate based only on the values entered. It does not account for regulations, taxes, lender fees, market conditions, or individual circumstances. Results are for planning purposes only — consult a qualified professional for regulated, medical, financial, or construction decisions.

Frequently asked questions about combination calculator

How accurate is the combination calculator?+

The calculation follows the displayed formula and retains full numeric precision before formatting the result.

Can I use the result professionally?+

Use it as a planning estimate. Confirm regulated, medical, financial, or construction decisions with a qualified professional.

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